The generator matrix

 1  0  1  1  1  1  1 18  1  1  1  3  1 24  1  1  0 18 12  0  1  1 21  1  1  1  1  1  1  1
 0  1  1 26 21 20 16  1 24 23  4  1 26  1 20 23  1  1  1  1 16 18  1  0  0  1 21 15 21 16
 0  0 24  0 18 18 15  3  0 18 24  3 15 18 24 15 24 15 12  9  0 21 15 15  9 12  6  3  0  6
 0  0  0  9  9  0 18  9 18 18  9 18  9  9 18  0  9  9  0 18  9 18  0  0 18 18  0 18 18  9

generates a code of length 30 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+490x^54+270x^55+1224x^56+1548x^57+1296x^58+3456x^59+2472x^60+2430x^61+3996x^62+1688x^63+378x^64+72x^65+252x^66+84x^69+26x^72

The gray image is a code over GF(3) with n=270, k=9 and d=162.
This code was found by Heurico 1.16 in 0.461 seconds.